FOIL I need help please

Ilya [14]

Answer:

-4a + 7a = + 3a

But you don't actually need a pkus sign 3a is fine too. You are basically sum - 4 and 7. Let me know if you still confused.

6 0

3 years ago

Solve the system by substitution: y = -3x + 10 y=-3x + 4 Please show the steps!

sergiy2304 [10]

Answer:

x=1, y=7

Step-by-step explanation:

y = -3x + 10 - first equation

y=-3x + 4 - second equation

rearrange the expression to

-3x-y= -10

3x-y= -4

pick an equation and simplify; lets pick the second equation

3x-y= -4

$\frac{3x}{3} = \frac{-4+y}{3}$

divide 3 by both sides

x= $\frac{-4+y}{3}$ - third equation

substitute the value of x into an equation; lets pick the first equation

-3x-y= -10

-3 $(\frac{-4+y}{3})$ - y = -10

simplify. -3 cancels 3 so we are left with

-1(-4+y)-y = -10

simplify

4-y-y= -10

4-2y= -10

subtract 4 from both sides

-2y= -10-4

-2y= -14

divide -2 by both sides

y=7

substitute the value of y, (y=7) in an equation, we are using the second equation

3x-y= -4

3x-7= -4

3x = -4+7

3x= 3

divide 3 by both sides

x=1

so the answer is x=1, y=7

5 0

3 years ago

Which expression is equivalent to log_5(x/4)^2?

viktelen [127]

For this case we must find an expression equivalent to:

$log_ {5} (\frac {x} {4}) ^ 2$

So:

We expanded $log_ {5} ((\frac {x} {4}) ^ 2)$ by moving 2 out of the logarithm:

$2log_ {5} (\frac {x} {4})$

By definition of logarithm properties we have to:

The logarithm of a product is equal to the sum of the logarithms of each factor:

$log (xy) = log (x) + log (y)$

The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.

$log (\frac {x} {y}) = log (x) -log (y)$

Then, rewriting the expression:

$2 (log_ {5} (x) -log_ {5} (4))$

We apply distributive property:

$2log_ {5} (x) -2log_ {5} (4)$

Answer:

An equivalent expression is:

$2log_ {5} (x) -2log_ {5} (4)$

3 0

3 years ago

The original price of a computer is $489.00. it is discounted 30%. find the selling price

Yanka [14]

Answer:

$342.30

Step-by-step explanation:

The original price of the computer is $489. The computer is discounted 30%, which means that 30% of the price is removed from the original price.

30% of 489 is

489 * 0.3 which is $146.7

146.7 is the discounted amount, not the selling price. To find the selling price, subtract how much is discounted ( 146.7) from the original price (489).

489-146.7= 342.3

3 0

2 years ago

Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality show

andrezito [222]

So the answer would be 8+9n≥80. The reason why is because he has $80 and he saved $8 and he earned $9 for each hour but we do not know how many hours so that is why it is n. and it says minimum so u might think that it might be ≤ but my sister says to think the opposite so the symbol will be ≥.

Check:  IT SAYS THAT N IS GREATER THAN 8 SO CHOOSE A NUMBER GREATER THAN 8 WHICH CAN BE 9.

8+9n≥80
8+9*9≥80
8+81≥80
90≥80, so this makes sense.

3 0

3 years ago

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